Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

The goal of this paper is to describe the state of the art on the question of global existence of
solutions to reaction-diffusion systems for which two main properties hold: on one hand, the …

In this article, we are devoted to study the problem of the existence, uniqueness and
positivity of the global solutions of the 3× 3 reaction-diffusion systems with the total mass of …

We prove here global existence in time of weak solutions for some reaction–diffusion
systems with natural structure conditions on the nonlinear reactive terms which provide …

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME COUPLED
SYSTEMS VIA A LYAPUNOV FUNCTIONAL∗ Page 1 Acta Mathematica Scientia, 2019 …

We study the boundedness and convergence to equilibrium of weak solutions to reaction–
diffusion systems with nonlinear diffusion. The nonlinear diffusion is of porous medium type …

The main purpose of this paper is to extend the result of Barabanova (Proc. Am. Math. Soc.
122: 827–831, 1994) on the global existence, uniqueness, uniform boundedness, and the …

In this paper, we prove global-in-time existence of strong solutions to a class of fractional
parabolic reaction–diffusion systems posed in a bounded domain of RN. The nonlinear …

A Uniform Bound for Solutions to a Thermo-diffusive System | Archive for Rational Mechanics
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The work constituting this thesis is a contribution to the mathematical modeling and analysis
of certain models applied in biology and medicine. We are interested in studying the …